If the inclination θ of a line is an obtuse angle, then the tangent of θ is
Apositive
Bnegative
Czero
Dinfinity
Mathematics · Question Bank
Analytic Geometry
128 of 233 questions match · page 2 of 7. Answer in your head first, then check the solution.
The ellipse is symmetric with respect to
Athe x-axis only
Bthe y-axis only
Cthe origin only
Dboth axes and the origin
If a line slants downward to the right, then it has
Anegative slope
Bpositive slope
Cno slope
Dzero slope
If the directed distance from a point to the line is negative, then which of the following is true?
AThe point and the origin are not on the side of the line.
BThe point and the origin are on the opposite sides of the line.
CThe point is below the line.
DThe point is above the line.
Which of the following is the polar equation of a limacon?
Ar = 1 + sinθ
Br = 2(1 – sinθ)
Cr = 2 – sinθ
Dr = 2sinθ
If the eccentricity of a conic is greater than one, then it is a
Aan ellipse
Ba circle
Ca parabola
Da hyperbola
The graph of 3x² – y = y² + 6x is
Aa parabola
Ban ellipse
Ca circle
Da hyperbola
If the value of the invariant B² – 4AC is negative, then the second-degree equation Ax² + Bxy +Cy² + Dx + Ey + F = 0 represents either an ellipse or
Aa pair of parallel lines
Btwo intersecting lines
Ca point
Da line
The surface described by the equation 4x² + y² + 26z = 100 is an
Aelliptic hyperboloid
Belliptic paraboloid
Cellipsoid
Delliptic cone
The locus of 9x² – 4z² – 36y = 0 is a/an
Aelliptic cone
Bhyperbolic paraboloid
Cparabolic cylinder
Dellipsoid
The trace of x² + 4z² – 8y = 0 on the xy-plane is
Aa hyperbola
Ban ellipse
Ca parabola
Da point
The locus of y² + z² – 4x = 0 has symmetry with respect to
Axz-plane only
Byz- and xy-planes
Cz-axis
Dxz- and xy-planes
If the plane curve b²x² + a²y² = a²b² is revolved about the x-axis, the surface generated is a/an
Aellipsoid of revolution
Bhyperbolic paraboloid
Cparaboloid of revolution
Dparabolic cylinder
What is the locus of any equation of the form x² + y² = f(z)?
Ahyperboloid of revolution
Bellipsoid of revolution
Cparaboloid of revolution
Dcylinder of revolution
The linear distance between -4 and 17 on the number line is
A13
B21
C-17
D-13
Find the distance between \(A(4,-3)\) and \(B(-2,5)\).
A11
B9
C10
D8
The line segment connecting \((x,6)\) and \((9,y)\) is bisected by the point \((7,3)\). Find the values of x and y.
A14, 6
B33, 12
C5, 0
D14, 6
If \((-2,-4)\) is the midpoint of \((6,-7)\) and \((x,y)\), then the values of x and y are
Ax=2, y=1
Bx=-10, y=-1
Cx=10, y=-1
Dx=-8, y=-1
If the slope of the line connecting the origin and point P is \(3/4\), find the abscissa of P if its ordinate is \(6\).
A2
B6
C7
D8
Find the inclination of the line passing through \((-5,3)\) and \((10,7)\).
A14.73
B14.93
C14.83
D14.63